GCD of 196, 990, 90, 155 Calculator

Given Input numbers are 196, 990, 90, 155

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 196, 990, 90, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 990, 90, 155 is 1.

Therefore, GCD of numbers 196, 990, 90, 155 is 1

Given Input Data is 196, 990, 90, 155

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 155 is 5 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(196, 990) = 97020

GCD(196, 990) = ( 196 x 990 ) / 97020

GCD(196, 990) = 194040 / 97020

GCD(196, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 155

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 155) = 310

GCD(2, 155) = ( 2 x 155 ) / 310

GCD(2, 155) = 310 / 310

GCD(2, 155) = 1

GCD of 196, 990, 90, 155 is 1

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1. What is the GCD of 196, 990, 90, 155?

GCD of 196, 990, 90, 155 is 1

2. Where do I get the detailed procedure to find GCD of 196, 990, 90, 155?

You can find a detailed procedure to find GCD of 196, 990, 90, 155 on our page.

3. How to find GCD of 196, 990, 90, 155 on a calculator?

You can find the GCD of 196, 990, 90, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.